29970700056 has 384 divisors, whose sum is σ = 95974502400. Its totient is φ = 8648640000.

The previous prime is 29970700051. The next prime is 29970700061. The reversal of 29970700056 is 65000707992.

It is an interprime number because it is at equal distance from previous prime (29970700051) and next prime (29970700061).

It is a junction number, because it is equal to n+sod(n) for n = 29970699984 and 29970700020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29970700051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57525076 + ... + 57525596.

It is an arithmetic number, because the mean of its divisors is an integer number (249933600).

Almost surely, 2^29970700056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29970700056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47987251200).

29970700056 is an abundant number, since it is smaller than the sum of its proper divisors (66003802344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29970700056 is a wasteful number, since it uses less digits than its factorization.

29970700056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 29970700056 in words is "twenty-nine billion, nine hundred seventy million, seven hundred thousand, fifty-six".